19-(3y-2)=(y-2)+3y

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Solution for 19-(3y-2)=(y-2)+3y equation:


Simplifying
19 + -1(3y + -2) = (y + -2) + 3y

Reorder the terms:
19 + -1(-2 + 3y) = (y + -2) + 3y
19 + (-2 * -1 + 3y * -1) = (y + -2) + 3y
19 + (2 + -3y) = (y + -2) + 3y

Combine like terms: 19 + 2 = 21
21 + -3y = (y + -2) + 3y

Reorder the terms:
21 + -3y = (-2 + y) + 3y

Remove parenthesis around (-2 + y)
21 + -3y = -2 + y + 3y

Combine like terms: y + 3y = 4y
21 + -3y = -2 + 4y

Solving
21 + -3y = -2 + 4y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-4y' to each side of the equation.
21 + -3y + -4y = -2 + 4y + -4y

Combine like terms: -3y + -4y = -7y
21 + -7y = -2 + 4y + -4y

Combine like terms: 4y + -4y = 0
21 + -7y = -2 + 0
21 + -7y = -2

Add '-21' to each side of the equation.
21 + -21 + -7y = -2 + -21

Combine like terms: 21 + -21 = 0
0 + -7y = -2 + -21
-7y = -2 + -21

Combine like terms: -2 + -21 = -23
-7y = -23

Divide each side by '-7'.
y = 3.285714286

Simplifying
y = 3.285714286

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